How do you find the acceleration? How do you find the coefficient of friction?

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To find the acceleration of a 10.2 kg block being pulled at constant speed, it is established that there is no acceleration, indicating no net force acting on the block. The tension in the rope, which is 50 N at a 30° angle, serves as the applied force. The normal force acting on the block is 75 N, and the kinetic friction must equal the applied force for the block to maintain constant speed. To analyze the forces, one should break down the tension into its components and consider all forces acting on the block. Understanding these relationships is crucial for calculating the coefficient of friction.
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A 10.2 kg block is being pulled at constant speed in the positive x-direction along a flat surface with which it has a coefficient of kinetic friction. It is pulled by a rope at an angle of 30° above the horizontal, and the tension in that rope is 50 N. Normal force is 75 N.
 
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You find the acceleration by realizing that if it is being pulled at a constant speed, that there is none. If there is no acceleration, there must be no net force, which means that kinetic friction must be equal to the applied force.

Remember that the tension is just equal to the applied force. A force of 50N applied at 30 degrees. Break it into components, find every component of every force on the block.
 

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